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Svetllana [295]

3 years ago

11

If f(x) = x-3/x, g(x) = x+3, and h(x) = -2x+1, what is (gohof)(x)

1 answer:

Leno4ka [110]3 years ago

7 0

Answer:

Step-by-step explanation:

⁷hc8

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Anna needs 6 pints of milk to make yogurt. How many cups of milk does Anna need?

kupik [55]

Answer:

Anna needs 12 cups.

5 0

3 years ago

A. Use composition to prove whether or not the functions are inverses of each other. B. Express the domain of the compositions u

Kryger [21]

Given: $f(x) = \frac{1}{x-2}$

$g(x) = \frac{2x+1}{x}$

A.)Consider

$f(g(x))= f(\frac{2x+1}{x} )$

$f(\frac{2x+1}{x} )=\frac{1}{(\frac{2x+1}{x})-2}$

$f(\frac{2x+1}{x} )=\frac{1}{\frac{2x+1-2x}{x}}$

$f(\frac{2x+1}{x} )=\frac{x}{1}$

$f(\frac{2x+1}{x} )=1$

Also,

$g(f(x))= g(\frac{1}{x-2} )$

$g(\frac{1}{x-2} )= \frac{2(\frac{1}{x-2}) +1 }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{\frac{2+x-2}{x-2} }{\frac{1}{x-2}}$

$g(\frac{1}{x-2} )= \frac{x }{1}$

$g(\frac{1}{x-2} )= x$

Since, $f(g(x))=g(f(x))=x$

Therefore, both functions are inverses of each other.

B.

For the Composition function $f(g(x)) = f(\frac{2x+1}{x} )=x$

Since, the function $f(g(x))$ is not defined for $x=0$ .

Therefore, the domain is $(-\infty,0)\cup(0,\infty)$

For the Composition function $g(f(x)) =g(\frac{1}{x-2} )=x$

Since, the function $g(f(x))$ is not defined for $x=2$ .

Therefore, the domain is $(-\infty,2)\cup(2,\infty)$

8 0

4 years ago

What is AB to the nearest meter

sashaice [31]

Answer:

C. 15

Step-by-step explanation:

Small triangle is similar to larger one so we can use the similarity ratio to solve the question:

CE/CA = DE/AB

4/12 = 5/AB cross multiply expressions

4AB = 60 divide both sides by 4

AB = 15

6 0

3 years ago

Read 2 more answers

V= 2i +9j Find ||9v||

Korvikt [17]

Answer:

9 $\sqrt{85}$

Step-by-step explanation:

9v = 9(2i + 9j) = 18i + 81j

|9v | = $\sqrt{18^2+81^2}$ = $\sqrt{x6885}$ = 9 $\sqrt{85}$

8 0

3 years ago

What is 9 1/2 - 5 7/12 =

Soloha48 [4]

Answer:

47/12, or 3 11/12

Step-by-step explanation:

9 1/2 - 5 7/12 > convert to improper fractions

19/2 - 67/12

make same denominator (12)

19/2 * 6 = 114/12

114/12 - 67/12 = 47/12

7 0

3 years ago

Read 2 more answers